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can you help me in integrating 1/sqrt(1+2cos2x)

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+2 votes
1.5k views
in Mathematics by (25 points)
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1 Answer

+1 vote
by (2.1k points)

∫1÷(1+cos2x)2dx

∫1÷(sin2x+cos2x+cos2x-sin2x)2dx

∫1÷(2cos2x)2dx

(1÷4)∫sec4x dx

(1÷4)∫sec2x(1+tan2x) dx

(1÷4)∫sec2x+sec2xtan2x dx

1/4[tanx+(tan3x÷3)]+C..Answer

by (25 points)
it is sqrt not sq
by (2.1k points)
???? Sorry i don't ment it
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